Width of convex bodies in spaces of constant curvature
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Publication:926281
DOI10.1007/s00229-008-0171-1zbMath1144.52006OpenAlexW1999325561MaRDI QIDQ926281
Eduardo Gallego, Gil Solanes, Eberhard Teufel, Agusti Reventos
Publication date: 27 May 2008
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-008-0171-1
Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (7)
Spherical Geometry—A Survey on Width and Thickness of Convex Bodies ⋮ Linear combinations of hypersurfaces in hyperbolic space ⋮ Stability of the isodiametric problem on the sphere and in the hyperbolic space ⋮ Horo-tight spheres in hyperbolic space ⋮ The isodiametric problem and other inequalities in the constant curvature 2-spaces ⋮ On the isodiametric and isominwidth inequalities for planar bisections ⋮ Uniqueness results for bodies of constant width in the hyperbolic plane
Cites Work
- Compact hypersurfaces with constant scalar curvature and a congruence theorem
- On integral geometry in Riemannian spaces
- Barbier's theorem for the sphere and the hyperbolic plane
- Integral geometry of equidistants in hyperbolic space
- Completeness and constant width in spherical and hyperbolic spaces
- Curves of constant width in the non-Euclidean geometry
- A general comparison theorem with applications to volume estimates for submanifolds
- The kinematic formula in Riemannian homogeneous spaces
- An Interesting Property of the Evolute
- Horospheres and Convex Bodies in Hyperbolic Space
- Barbier's Theorem in the Lobachevski Plane
- Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces
- On Parallel Hypersurfaces in the Elliptic and Hyperbolic n-Dimensional Space
- Note on convex curves on the hyperbolic plane
- Relation between area and volume for \(\lambda\)-convex sets in Hadamard manifolds
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